The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Graph models for waves in thin structures
Abstract
A brief survey on graph models for wave propagation in thin structures is presented. Such models arise in many areas of mathematics, physics, chemistry and engineering (dynamical systems, nanotechnology, mesoscopic systems, photonic crystals etc). Considerations are limited to spectral problems, although references to works with other studies are provided.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
(2020) · Electromagnetic Processes · doi:10.2307/j.ctv131bv37.5 · Cited by 21,966
Inhibited Spontaneous Emission in Solid-State Physics and Electronics
Yablonovitch, E. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2059 · Cited by 14,067
Strong localization of photons in certain disordered dielectric superlattices
John, S. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2486 · Cited by 10,029
Methods of Modern Mathematical Physics
(1972) · Elsevier eBooks · doi:10.1016/b978-0-12-585001-8.x5001-6 · Cited by 8,883
Photonic Crystals: Molding the Flow of Light
Joannopoulos, J. D., Johnson, S. G., Winn, J. N., & Meade, R. D. (1995) · Cited by 7,965
Electronic Transport in Mesoscopic Systems
Datta, S. (1995) · doi:10.1017/cbo9780511805776 · Cited by 7,704
Chung, F. (1996) · CBMS Regional Conference Series in Mathematics · doi:10.1090/cbms/092 · Cited by 5,524
High-impedance electromagnetic surfaces with a forbidden frequency band
Sievenpiper, D., Zhang, L., Broas, R. F. J., Alexopolous, N. G., & Yablonovitch, E. (1999) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/22.798001 · Cited by 4,258
L.R. (1963) · Nuclear Physics · doi:10.1016/0029-5582(63)90551-0 · Cited by 2,243
Asymptotic Analysis of Periodic Structures
Bensoussan, A., Lions, J. L., Papanicolaou, G., & Caughey, T. K. (1979) · Journal of Applied Mechanics · doi:10.1115/1.3424588 · Cited by 1,688
Cited by
Quantum graphs: Applications to quantum chaos and universal spectral statistics
Gnutzmann∥, S., & Smilansky, U. (2006) · Advances in Physics · doi:10.1080/00018730600908042 · Cited by 346
Metadata
- Authors
- Kuchment, P.
- Venue
- Waves in Random Media
- Publisher
- Informa UK Limited
- Published
- 2002-10
- Volume
- 12
- Issue
- 4
- Pages
- R1-R24
- ISSN
- 0959-7174 (ISSN-L)
- 1361-6676
- OpenAlex
- W2062939833
- Cited by
- 288
- References
- 36
- FWCI
- 15.91
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Graph models for waves in thin structures. https://app.cochat.ai/papers/10.1088/0959-7174/12/4/201
- The paper
- Kuchment, P. (2002). Graph models for waves in thin structures. Waves in Random Media. https://doi.org/10.1088/0959-7174/12/4/201
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
